Publication Details

Category Text Publication
Reference Category Journals
DOI 10.1103/PhysRevE.80.061134
Title (Primary) Persistent memory of diffusing particles
Author Suciu, N.; Vamoş, C.; Radu, F.A.; Vereecken, H.; Knabner, P.
Source Titel Physical Review E
Year 2009
Department CHS; ENVINF
Volume 80
Issue 6
Page From 061134
Language englisch
Abstract The variance of the advection-diffusion processes with variable coefficients is exactly decomposed as a sum of dispersion terms and memory terms consisting of correlations between velocity and initial positions. For random initial conditions, the memory terms quantify the departure of the preasymptotic variance from the time-linear diffusive behavior. For deterministic initial conditions, the memory terms account for the memory of the initial positions of the diffusing particles. Numerical simulations based on a global random walk algorithm show that the influence of the initial distribution of the cloud of particles is felt over hundreds of dimensionless times. In case of diffusion in random velocity fields with finite correlation range the particles forget the initial positions in the long-time limit and the variance is self-averaging, with clear tendency toward normal diffusion.
Persistent UFZ Identifier
Suciu, N., Vamoş, C., Radu, F.A., Vereecken, H., Knabner, P. (2009):
Persistent memory of diffusing particles
Phys. Rev. E 80 (6), 061134 10.1103/PhysRevE.80.061134